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Simplifying 15n2 + -28n + 20 = 8 Reorder the terms: 20 + -28n + 15n2 = 8 Solving 20 + -28n + 15n2 = 8 Solving for variable 'n'. Reorder the terms: 20 + -8 + -28n + 15n2 = 8 + -8 Combine like terms: 20 + -8 = 12 12 + -28n + 15n2 = 8 + -8 Combine like terms: 8 + -8 = 0 12 + -28n + 15n2 = 0 Factor a trinomial. (2 + -3n)(6 + -5n) = 0Subproblem 1
Set the factor '(2 + -3n)' equal to zero and attempt to solve: Simplifying 2 + -3n = 0 Solving 2 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3n = 0 + -2 -3n = 0 + -2 Combine like terms: 0 + -2 = -2 -3n = -2 Divide each side by '-3'. n = 0.6666666667 Simplifying n = 0.6666666667Subproblem 2
Set the factor '(6 + -5n)' equal to zero and attempt to solve: Simplifying 6 + -5n = 0 Solving 6 + -5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5n = 0 + -6 -5n = 0 + -6 Combine like terms: 0 + -6 = -6 -5n = -6 Divide each side by '-5'. n = 1.2 Simplifying n = 1.2Solution
n = {0.6666666667, 1.2}
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